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Finding the Third Proportional to 718,704 and 1,197,736

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Solution

The third proportional to 718,704 and 1,197,736 is: 1,996,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,704 : 1,197,736 = 1,197,736 : x
  2. Step 2: Convert to fraction form
    718,704/1,197,736 = 1,197,736/x
  3. Step 3: Cross multiply
    718,704x = 1,197,736 × 1,197,736
  4. Step 4: Simplify right side
    718,704x = 1,434,571,525,696
  5. Step 5: Solve for x
    x = 1,434,571,525,696/718,704
  6. Step 6: Final answer
    x = 1,996,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.